(Steps Shown) At 11 A.M. on a certain morning the outside temperature was 76^circ F At 11 P.M. that evening it had dropped to 52^circ F. Show that at some


Question: At 11 A.M. on a certain morning the outside temperature was \(76^{\circ} \mathrm{F}\) At 11 P.M. that evening it had dropped to \(52^{\circ} \mathrm{F}\).

  1. Show that at some instant during this period the temperature was decreasing at the rate of \(2^{\circ} \mathrm{F} / \mathrm{h}\).
  2. Suppose that you know that the temperature reached a high of \(88^{\circ} \mathrm{F}\) sometime between 11 A.M. and 11 P.M. Show that at some instant during this period the temperature was decreasing at a rate greater than \(3^{\circ} \mathrm{F} / \mathrm{h}\).

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